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119119872 = 213337131
BaseRepresentation
bin1110001100110…
…10000000000000
322022010220202010
413012122000000
5220443313442
615453052520
72644334154
oct706320000
9268126663
10119119872
1161270583
1233a87140
131b8a9441
1411b6b064
15a6ceb9c
hex719a000

119119872 has 112 divisors (see below), whose sum is σ = 328708512. Its totient is φ = 38338560.

The previous prime is 119119859. The next prime is 119119927. The reversal of 119119872 is 278911911.

It is a self number, because there is not a number n which added to its sum of digits gives 119119872.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909247 + ... + 909377.

Almost surely, 2119119872 is an apocalyptic number.

119119872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119119872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164354256).

119119872 is an abundant number, since it is smaller than the sum of its proper divisors (209588640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

119119872 is an equidigital number, since it uses as much as digits as its factorization.

119119872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its digits is 9072, while the sum is 39.

The square root of 119119872 is about 10914.2050557977. The cubic root of 119119872 is about 492.0335756054.

The spelling of 119119872 in words is "one hundred nineteen million, one hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 131 148 192 222 256 262 296 384 393 444 512 524 592 768 786 888 1024 1048 1184 1536 1572 1776 2048 2096 2368 3072 3144 3552 4096 4192 4736 4847 6144 6288 7104 8192 8384 9472 9694 12288 12576 14208 14541 16768 18944 19388 24576 25152 28416 29082 33536 37888 38776 50304 56832 58164 67072 75776 77552 100608 113664 116328 134144 151552 155104 201216 227328 232656 268288 303104 310208 402432 454656 465312 536576 620416 804864 909312 930624 1073152 1240832 1609728 1861248 2481664 3219456 3722496 4963328 7444992 9926656 14889984 19853312 29779968 39706624 59559936 119119872